grundlagen:energiewirtschaft_und_oekologie:a_shoko_sharing_game
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grundlagen:energiewirtschaft_und_oekologie:a_shoko_sharing_game [2024/01/10 14:01] – wfeist | grundlagen:energiewirtschaft_und_oekologie:a_shoko_sharing_game [2024/01/12 11:14] (aktuell) – wolfgang.hasper@passiv.de | ||
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- | ======A | + | ====== A Chocolate-Sharing Game ====== |
- | Almost everyone is probably familiar with the following game from childhood - or from their own children or grandchildren.\\ \\ | + | Almost everyone is probably familiar with the following game from childhood - or from their own children or grandchildren.\\ |
- | A bar of chocolate is laid out at a party. At first, everyone grabs it - it turns out that the bar is particularly tasty - but there is only one.\\ \\ | + | \\ |
- | It is often the case that the last piece - a rather small, finite amount - is left behind as a " | + | A bar of chocolate is laid out at a party. At first, everyone grabs it - it turns out that the bar is particularly tasty - but there is only one.\\ |
- | The party then discusses how long this process can be repeated: Always take only half of the remaining food again. This works for a surprisingly long time: and it usually ends not because it seems difficult to halve the small amount further, but because the game gets boring at some point.\\ | + | \\ |
- | {{ : | + | It is often the case that the last piece - a rather small, finite amount - is left behind as a " |
+ | \\ | ||
+ | The party then discusses how long this process can be repeated: Always take only half of the remaining food again. This works for a surprisingly long time: and it usually ends not because it seems difficult to halve the small amount further, but because the game gets boring at some point.\\ | ||
+ | {{ .: | ||
What is it like in ' | What is it like in ' | ||
+ | |||
- Mathematically speaking, it is possible to continue such a halving process for longer and longer periods: and so the availability of chocolate can therefore be permanently ensured, even if at some point in the end in microscopic quantities. | - Mathematically speaking, it is possible to continue such a halving process for longer and longer periods: and so the availability of chocolate can therefore be permanently ensured, even if at some point in the end in microscopic quantities. | ||
- Chemically and physically, however, we eventually reach the limit of a continuous division process, where the result of further division would no longer be " | - Chemically and physically, however, we eventually reach the limit of a continuous division process, where the result of further division would no longer be " | ||
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- A recoverable reserve $R$ of about 100 times the amount of consumption $V$. | - A recoverable reserve $R$ of about 100 times the amount of consumption $V$. | ||
- | - Then the following strategy would work: We extract just 1% of the **//yet//** existing reserves in each actual phase (e.g. 1 year). Then the initial extraction is $V_0$=1 (=1% of $R$), the following extraction is 1% out of 99% = 0.99, the third 0.99*0.99 etc. With this approach, it is immediately clear that the reserves are not completely exhausted. After 30 years, around 74% of the initial ressource is still available, and even after 100 years around 37%. | + | - Then the following strategy would work: We extract just 1% of the **// |
- A period of well over 100 years is certainly sufficient to find and implement sustainable solutions for the task to be fulfilled; this is made possible by improving efficiency. In general, a reduction in consumption to around 1/5 to 1/3 of the current baseline is in most cases sufficient to dip below the sustainability threshold. | - A period of well over 100 years is certainly sufficient to find and implement sustainable solutions for the task to be fulfilled; this is made possible by improving efficiency. In general, a reduction in consumption to around 1/5 to 1/3 of the current baseline is in most cases sufficient to dip below the sustainability threshold. | ||
- | - In the economics of resource management, it is generally assumed that significantly higher reserves can ultimately be tapped, but usually only at a higher cost. While this is certainly true for materials such as rare earths or lithium, it is different for the pollution tolerance of the earth' | + | - In the economics of resource management, it is generally assumed that significantly higher reserves can ultimately be tapped, but usually only at a higher cost. While this is certainly true for materials such as rare earths or lithium, it is different for the pollution tolerance of the earth' |
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grundlagen/energiewirtschaft_und_oekologie/a_shoko_sharing_game.1704891715.txt.gz · Zuletzt geändert: von wfeist